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Igatools: An isogeometric analysis library
(Society for Industrial and Applied Mathematics, 2015-06)
We present the design of an object oriented general purpose library for isogeometric analysis, where the mathematical concepts of the isogeometric method and their relationships are directly mapped into classes and their ...
Effective Integration of Sophisticated Operators in Isogeometric Analysis with igatools
(Springer, 2015)
Igatools is a newly released library for operators assembly in isogeometric analysis. The library, which is object oriented designed and written in C++11, is general purpose, therefore it is not devoted to any specific ...
An algorithm for prescribed mean curvature using isogeometric methods
(Elsevier, 2016-04)
We present a Newton type algorithm to find parametric surfaces of prescribed mean curvature with a fixed given boundary. In particular, it applies to the problem of minimal surfaces. The algorithm relies on some global ...
On the computational efficiency of isogeometric methods for smooth elliptic problems using direct solvers
(John Wiley & Sons Ltd, 2014-11)
SUMMARY: We compare the computational efficiency of isogeometric Galerkin and collocation methods for partial differential equations in the asymptotic regime. We define a metric to identify when numerical experiments have ...
Geometrically nonlinear isogeometric analysis of functionally graded microplates with the modified couple stress theory
(Elsevier, 2017)
In this study, a new and efficient computational approach based on isogeometric analysis (IGA) and refined plate theory (RPT) is proposed for the geometrically nonlinear analysis of functionally graded (FG) microplates. ...
Algorithms for the implementation of adaptive isogeometric methods using hierarchical B-splines
(Elsevier Science, 2018-01)
In this article we introduce all the ingredients to develop adaptive isogeometric methods based on hierarchical B-splines. In particular, we give precise definitions of local refinement and coarsening that, unlike previously ...
The cost of continuity: a study of the performance of isogeometric finite elements using direct solvers
(Elsevier Science Sa, 2012-03)
We study the performance of direct solvers on linear systems of equations resulting from isogeometric analysis. The problem of choice is the canonical Laplace equation in three dimensions. From this study we conclude that ...
Vibration of cracked functionally graded microplates by the strain gradient theory and extended isogeometric analysis
(Elsevier Ltd, 2019)
In this study, the vibration behaviours of functionally graded microplates with cracks are investigated by means of a simple yet rigorous version of Mindlin's generialised continuum and the extended isogeometric analysis ...
Isogeometric boundary element methods for three dimensional static fracture and fatigue crack growth
(Elsevier, 2017)
We present a novel numerical method to simulate crack growth in 3D, directly from the Computer-Aided Design (CAD)
geometry of the component, without any mesh generation. The method is an isogeometric boundary element ...
Enriched isogeometric collocation for two-dimensional time-harmonic acoustics
(Elsevier, 2020)
In this work, the isogeometric collocation (IGA-C) is paired with two types of enrichment: Plane Wave (PW-) and Generalized Harmonic Polynomial (GHP-) functions, to solve 2D-problems for the Helmholtz equation. A parametric ...